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# Problem-Based Global Optimization Setup

Create optimization variables, create problem with objective and constraints, call solve

Global Optimization Toolbox has two approaches for optimization: problem-based and solver-based. See Decide Between Problem-Based and Solver-Based Approach. In problem-based optimization, you create symbolic-style optimization variables. Then you create expressions in these variables that represent the objective and constraints. Finally, solve the problem using solve. For details, see Problem-Based Optimization Workflow.

Note: If you have a nonlinear function that is not composed of polynomials, rational expressions, and elementary functions such as exp, then convert the function to an optimization expression by using fcn2optimexpr. See Convert Nonlinear Function to Optimization Expression and Supported Operations for Optimization Variables and Expressions.

For a basic example, see Compare Several Global Solvers, Problem-Based.

## Functions

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 optimproblem Create optimization problem optimvalues Create values for optimization problem (Since R2022a) optimvar Create optimization variables show Display information about optimization object (Since R2019b) showbounds Display variable bounds write Save optimization object description (Since R2019b) writebounds Save description of variable bounds
 fcn2optimexpr Convert function to optimization expression optimconstr Create empty optimization constraint array optimeq Create empty optimization equality array (Since R2019b) optimineq Create empty optimization inequality array (Since R2019b) optimexpr Create empty optimization expression array show Display information about optimization object (Since R2019b) write Save optimization object description (Since R2019b)
 evaluate Evaluate optimization expression or objectives and constraints in problem findindex Find numeric index equivalents of named index variables infeasibility Constraint violation at a point prob2struct Convert optimization problem or equation problem to solver form show Display information about optimization object (Since R2019b) solve Solve optimization problem or equation problem varindex Map problem variables to solver-based variable index write Save optimization object description (Since R2019b)

## Objects

 OptimizationConstraint Optimization constraints OptimizationEquality Equalities and equality constraints (Since R2019b) OptimizationExpression Arithmetic or functional expression in terms of optimization variables OptimizationInequality Inequality constraints (Since R2019b) OptimizationProblem Optimization problem OptimizationValues Values for optimization problems (Since R2022a) OptimizationVariable Variable for optimization